Perturbation of a nonautonomous problem in $\mathbb{R}^n$
In this paper we prove a stability result about the asymptotic dynamics of a perturbed nonautonomous evolution equation in $\mathbb{R}^n$ governed by a maximal monotone operator.
math.AP↗
arXiv subjects
Karina Schiabel-Silva
Publications and source records attributed to Karina Schiabel-Silva.
Pullback attractors for a singularly nonautonomous plate equation
We consider the family of singularly nonautonomous plate equation with structural damping \[ u_{tt} + a(t,x)u_{t} + (- Δ) u_{t} + (-Δ)^{2} u + λu = f(u), \] in a bounded domain $Ω\subset \R^n$, with Navier boundary conditions. When the nonlinearity $f$ is dissipative we show that this problem is globally well posed in $H^2_0(Ω) \times L^2(Ω)$ and has a family of pullback attractors which is upper-semicontinuous under small perturbations of the damping $a$.
math.AP↗